JEE Questions for Maths Circle And System Of Circles Quiz 5 - MCQExams.com


Maths-Circle and System of Circles-12582.png

  • Maths-Circle and System of Circles-12583.png
  • 2)
    Maths-Circle and System of Circles-12584.png

  • Maths-Circle and System of Circles-12585.png
  • None of these

Maths-Circle and System of Circles-12587.png
  • x-axis
  • y-axis
  • x- axis and y-axis
  • None of these

Maths-Circle and System of Circles-12589.png

  • Maths-Circle and System of Circles-12590.png
  • 2)
    Maths-Circle and System of Circles-12591.png

  • Maths-Circle and System of Circles-12592.png

  • Maths-Circle and System of Circles-12593.png

Maths-Circle and System of Circles-12595.png

  • Maths-Circle and System of Circles-12596.png
  • 2)
    Maths-Circle and System of Circles-12597.png

  • Maths-Circle and System of Circles-12598.png

  • Maths-Circle and System of Circles-12599.png

Maths-Circle and System of Circles-12601.png

  • Maths-Circle and System of Circles-12602.png
  • 2)
    Maths-Circle and System of Circles-12603.png

  • Maths-Circle and System of Circles-12604.png

  • Maths-Circle and System of Circles-12605.png
A circle touches the y-axis at the point (0,and cutsthe x-axis in a chord of length 6 units. The radius of the circle is
  • 3
  • 4
  • 5
  • 6
The number of circle having radius 5 and passing through the points (–2,and (4,is
  • One
  • Two
  • Four
  • Infinite
The equation of the circle which touches x-axis andwhose centre is (1, 2), is

  • Maths-Circle and System of Circles-12609.png
  • 2)
    Maths-Circle and System of Circles-12610.png

  • Maths-Circle and System of Circles-12611.png

  • Maths-Circle and System of Circles-12612.png
The locus of the centre of the circle which cuts off intercepts of length 2a and 2b from x-axis and y-axis respectively, is

  • Maths-Circle and System of Circles-12614.png
  • 2)
    Maths-Circle and System of Circles-12615.png

  • Maths-Circle and System of Circles-12616.png

  • Maths-Circle and System of Circles-12617.png

Maths-Circle and System of Circles-12619.png

  • Maths-Circle and System of Circles-12620.png
  • 2)
    Maths-Circle and System of Circles-12621.png

  • Maths-Circle and System of Circles-12622.png

  • Maths-Circle and System of Circles-12623.png

Maths-Circle and System of Circles-12625.png
  • 347
  • 4
  • –4
  • 49

Maths-Circle and System of Circles-12627.png

  • Maths-Circle and System of Circles-12628.png
  • 2)
    Maths-Circle and System of Circles-12629.png

  • Maths-Circle and System of Circles-12630.png

  • Maths-Circle and System of Circles-12631.png
ABC is a triangle in which angle C is a right angle. If the coordinates of A and B be (–3,and (3, –respectively, then the equation of he circumcircle of triangle ABC is

  • Maths-Circle and System of Circles-12633.png
  • 2)
    Maths-Circle and System of Circles-12634.png

  • Maths-Circle and System of Circles-12635.png
  • None of these
The equation of the circle in the first quadrant touching each co-ordinate axis at a distance of one unit from the origin is

  • Maths-Circle and System of Circles-12636.png
  • 2)
    Maths-Circle and System of Circles-12637.png

  • Maths-Circle and System of Circles-12638.png
  • None of these
The number of circles touching the line y – x = 0 and the y-axis is
  • Zero
  • One
  • Two
  • Infinite

Maths-Circle and System of Circles-12640.png

  • Maths-Circle and System of Circles-12641.png
  • 2)
    Maths-Circle and System of Circles-12642.png

  • Maths-Circle and System of Circles-12643.png
  • None of these
If the vertices of a triangle be(2, –2), (–1, –and (5, 2), then the equation of its circumcircle is

  • Maths-Circle and System of Circles-12645.png
  • 2)
    Maths-Circle and System of Circles-12646.png

  • Maths-Circle and System of Circles-12647.png
  • None of these

Maths-Circle and System of Circles-12649.png

  • Maths-Circle and System of Circles-12650.png
  • 2)
    Maths-Circle and System of Circles-12651.png

  • Maths-Circle and System of Circles-12652.png

  • Maths-Circle and System of Circles-12653.png

Maths-Circle and System of Circles-12655.png
  • (0, 0)
  • (1,1)
  • (1, 2)
  • (2, 1)

Maths-Circle and System of Circles-12657.png
  • 3, 1
  • 2, 2
  • 3, 2
  • 3, 4
The equation of the circle passing through the origin and cutting intercepts of length 3 and 4 units from the positive axis, is

  • Maths-Circle and System of Circles-12659.png
  • 2)
    Maths-Circle and System of Circles-12660.png

  • Maths-Circle and System of Circles-12661.png

  • Maths-Circle and System of Circles-12662.png

Maths-Circle and System of Circles-12664.png
  • y-axis at the origin
  • x-axis at the origin
  • x-axis at the point (3, 0)

  • Maths-Circle and System of Circles-12665.png

Maths-Circle and System of Circles-12667.png

  • Maths-Circle and System of Circles-12668.png
  • 2)
    Maths-Circle and System of Circles-12669.png

  • Maths-Circle and System of Circles-12670.png
  • None of these

Maths-Circle and System of Circles-12672.png

  • Maths-Circle and System of Circles-12673.png
  • 2)
    Maths-Circle and System of Circles-12674.png

  • Maths-Circle and System of Circles-12675.png

  • Maths-Circle and System of Circles-12676.png

Maths-Circle and System of Circles-12678.png
  • Circle passes though the point (–3, 4)
  • Circle touches x-axis
  • Circle touches y-axis
  • None of these

Maths-Circle and System of Circles-12680.png

  • Maths-Circle and System of Circles-12681.png
  • 2)
    Maths-Circle and System of Circles-12682.png

  • Maths-Circle and System of Circles-12683.png

  • Maths-Circle and System of Circles-12684.png

Maths-Circle and System of Circles-12686.png
  • Line is a tangent to the circle
  • Line is a chord of the circle
  • Line is a diameter of the circle
  • None of these
The locus of the centre of the circle which cuts a chord of length 2a from the positive x-axis and passesthrough a point on positive y-axis distant b from the origin is

  • Maths-Circle and System of Circles-12688.png
  • 2)
    Maths-Circle and System of Circles-12689.png

  • Maths-Circle and System of Circles-12690.png

  • Maths-Circle and System of Circles-12691.png
The equation of circle passing through (4,and having the centre at (2, 2), is

  • Maths-Circle and System of Circles-12693.png
  • 2)
    Maths-Circle and System of Circles-12694.png

  • Maths-Circle and System of Circles-12695.png

  • Maths-Circle and System of Circles-12696.png
A circle touches x-axis and cuts off a chord of length 2l from y-axis. The locus of the centre of the circle is
  • A straight line
  • A circle
  • An ellipse
  • A hyperbola

Maths-Circle and System of Circles-12699.png
  • 3
  • 4

  • Maths-Circle and System of Circles-12700.png

  • Maths-Circle and System of Circles-12701.png

Maths-Circle and System of Circles-12703.png

  • Maths-Circle and System of Circles-12704.png
  • 2)
    Maths-Circle and System of Circles-12705.png

  • Maths-Circle and System of Circles-12706.png

  • Maths-Circle and System of Circles-12707.png

Maths-Circle and System of Circles-12709.png

  • Maths-Circle and System of Circles-12710.png
  • 2)
    Maths-Circle and System of Circles-12711.png

  • Maths-Circle and System of Circles-12712.png

  • Maths-Circle and System of Circles-12713.png

Maths-Circle and System of Circles-12715.png

  • Maths-Circle and System of Circles-12716.png
  • 2)
    Maths-Circle and System of Circles-12717.png

  • Maths-Circle and System of Circles-12718.png

  • Maths-Circle and System of Circles-12719.png
The equation of the circle passing through the points (0,(0, b) and (a, b) is

  • Maths-Circle and System of Circles-12721.png
  • 2)
    Maths-Circle and System of Circles-12722.png

  • Maths-Circle and System of Circles-12723.png

  • Maths-Circle and System of Circles-12724.png

Maths-Circle and System of Circles-12726.png

  • Maths-Circle and System of Circles-12727.png
  • 2)
    Maths-Circle and System of Circles-12728.png

  • Maths-Circle and System of Circles-12729.png

  • Maths-Circle and System of Circles-12730.png
The equation of the circle touching both the axes and passing through the point (1,are

  • Maths-Circle and System of Circles-12731.png
  • 2)
    Maths-Circle and System of Circles-12732.png

  • Maths-Circle and System of Circles-12733.png
  • None of these

Maths-Circle and System of Circles-12735.png

  • Maths-Circle and System of Circles-12736.png
  • 2)
    Maths-Circle and System of Circles-12737.png

  • Maths-Circle and System of Circles-12738.png

  • Maths-Circle and System of Circles-12739.png

Maths-Circle and System of Circles-12741.png

  • Maths-Circle and System of Circles-12742.png
  • 2)
    Maths-Circle and System of Circles-12743.png

  • Maths-Circle and System of Circles-12744.png
  • None of these

Maths-Circle and System of Circles-12746.png

  • Maths-Circle and System of Circles-12747.png
  • 2)
    Maths-Circle and System of Circles-12748.png

  • Maths-Circle and System of Circles-12749.png

  • Maths-Circle and System of Circles-12750.png
The equation of the circle with centre on the x-axis, radius 4 and passing through the origin, is

  • Maths-Circle and System of Circles-12752.png
  • 2)
    Maths-Circle and System of Circles-12753.png

  • Maths-Circle and System of Circles-12754.png

  • Maths-Circle and System of Circles-12755.png
The equation of the circle passing though the point (2,and touching y-axis at the origin is

  • Maths-Circle and System of Circles-12757.png
  • 2)
    Maths-Circle and System of Circles-12758.png

  • Maths-Circle and System of Circles-12759.png
  • None of these
The equation of the circle which passes through the origin and cuts off intercepts of 2 units length from negative co-ordinate axis, is

  • Maths-Circle and System of Circles-12761.png
  • 2)
    Maths-Circle and System of Circles-12762.png

  • Maths-Circle and System of Circles-12763.png

  • Maths-Circle and System of Circles-12764.png

Maths-Circle and System of Circles-12766.png
  • Centre lies on x-axis
  • Centre lies on y-axis
  • Centre is at origin
  • Circle passes through origin
The equation of the circle with centre on x-axis, radius 5 and passing through the point (2, 3), is

  • Maths-Circle and System of Circles-12768.png
  • 2)
    Maths-Circle and System of Circles-12769.png

  • Maths-Circle and System of Circles-12770.png

  • Maths-Circle and System of Circles-12771.png
The equation of the circle which touches x-axis at (3, 0)and passes through (1,is given by

  • Maths-Circle and System of Circles-12773.png
  • 2)
    Maths-Circle and System of Circles-12774.png

  • Maths-Circle and System of Circles-12775.png

  • Maths-Circle and System of Circles-12776.png

Maths-Circle and System of Circles-12778.png

  • Maths-Circle and System of Circles-12779.png
  • 2)
    Maths-Circle and System of Circles-12780.png

  • Maths-Circle and System of Circles-12781.png

  • Maths-Circle and System of Circles-12782.png

Maths-Circle and System of Circles-12784.png
  • One
  • Two
  • Four
  • Infinite
Let ABCD be a quadrilateral with area 18, with side AB parallel to the side CD and AB = 2CD. Let AD be perpendicular to AB and CD. If a circle is drawn inside the quadrilateral ABCD touching all the sides, then its radius is
  • 3
  • 2

  • Maths-Circle and System of Circles-12786.png
  • 1

Maths-Circle and System of Circles-12788.png

  • Maths-Circle and System of Circles-12789.png
  • 2)
    Maths-Circle and System of Circles-12790.png

  • Maths-Circle and System of Circles-12791.png

  • Maths-Circle and System of Circles-12792.png
0:0:1


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